Capacitor Impedance Calculator
Table of Contents
The impedance \( Z_C \) of a capacitor of capacitance \( C \), in complex form, is given by
\[ Z_C = -j \; X_C \]
where \( j \) is the imaginary unit and \( X_C = \dfrac{1}{ \omega C } \) is the capacitive reactance in Ohms \( ( \Omega ) \)
In polar form , \( Z_C \) is writtean as
\[ Z_C = X_C \; \angle \; - 90^{\circ} \quad \text{or} \quad Z_C = X_C \; \angle \; - \dfrac{\pi}{2} \]
\( \omega = 2 \pi f \) is the angular frequency in radians per second (rad/s) and \( f \) is the frequency in Hertz (Hz).
This calculator calculates angular frequency \( \omega \), the capacitive reactance \( X_C \) and the impedance \( Z_C \) in complex standard and polar forms.
Use of the calculator
Enter the capacitance \( C \) and the frequency \( f \) and press "Calculate".
Results
in complex form
in polar form with phase in degrees
in polar form with phase in radians
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